2D Anisotropic Wavelet Entropy with an Application to Earthquakes in Chile

Entropy

Orietta Nicolis²  Jorge Mateu¹ 

[1] Institute of Mathematics, University Jaume I of Castellón, Campus Riu Sec, Castellon 12071, Spain;Institute of Statistics, University of Valparaiso, Av.Gran Bretaña 1111, Valparaiso, Chile; E-Mail:

关键词: anisotropy;    earthquake events;    entropy;    spatial point patterns;    wavelets;   

DOI  :  10.3390/e17064155

来源: mdpi

【 摘 要 】

We propose a wavelet-based approach to measure the Shannon entropy in the context of spatial point patterns. The method uses the fully anisotropic Morlet wavelet to estimate the energy distribution at different directions and scales. The spatial heterogeneity and complexity of spatial point patterns is then analyzed using the multiscale anisotropic wavelet entropy. The efficacy of the approach is shown through a simulation study. Finally, an application to the catalog of earthquake events in Chile is considered.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland